What is the solution of this system?

Question

3x - y = 13
2x +y = 12

A) (3, 6)
B) (2, 5)
C) (5, 2)
D) (-5, 22)

Answer 1

OK!

3x - y = 13
2x +y = 12

Add the two equations together:

5x + 0y= 25
x=5

Now substitute x=5:

2 *(5) +y = 12
y=2

So, (x,y) = (5,2)
Done!

Answer 2

Add the two equations. The y's cancel, leaving
5x = 25.
So x = 5 and y = 2.

Answer 3

This isn't too difficult, hopefully you'll be able to figure it out.

It's C.


3(5) - (2) = 13
15 - 2 = 13

Equation one confirmed

2(5) + (2) = 12
10 + 2) = 12

Equation two confirmed. Hope I helped.

Answer 4

3x - y = 13
2x + y = 12

Add the two equations together and this will get you your x value.

5x = 25
x = 5

Therefore, the answer is C)

Answer 5

*Solve for "x" or "y" in either equation-let's solve for "y" in the 2nd equation...

First: subtract "2x" from both sides (moving variables to the opposite side means opposite sign)...

2x - 2x + y = 12 - 2x
y = 12 - 2x

Sec: replace "12 - 2x" with the "y" variable in the 1st equation...

3x - (12 - 2x) = 13
3x - 12 + 2x = 13
5x - 12 = 13

*Add 12 to both sides...

5x - 12 + 12 = 13 + 12
5x = 25

*Solve for "x" by isolating it on one side > divide both sides by 5...

5x/5 = 25/5
x = 5

Third: replace "5" with the "x" variable in the 2nd equation...

2(5) + y = 12
10 + y = 12

*Subtract 10 from both sides...

10 - 10 + y = 12 - 10
y = 2

The solution set is (5, 2)

Answer 6

5x= 25
x= 5

2(5)+y=12
y=2

C)(5,2)

Answer 7

C. (5,2) thanks for asking this...i have a geometry exam wednesday

Answer 8

C

Answer 9

C